HI just bought a Nikon Cool Pix with an 18 zoom for that very purpose. It's in my travel bag and forget the model number. You can view the photos I will post from RtR to see how you like them. The features I looked for were size, ability to fully use it completely one handed while riding, video and enough zoom for long range shots. I had a 6x zoom but it just wasn't sufficient for distance shots on my bike.

I can carry mine in either a jersey pocket or in a small bag on my top tube which I use for multi day rides. Mine had an instant $100 rebate so I paid $180. Sony also makes a great camera with a few more features like doing a panoramic picture.